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Simplifying 3(4a + -2) = 5(2a + -2) Reorder the terms: 3(-2 + 4a) = 5(2a + -2) (-2 * 3 + 4a * 3) = 5(2a + -2) (-6 + 12a) = 5(2a + -2) Reorder the terms: -6 + 12a = 5(-2 + 2a) -6 + 12a = (-2 * 5 + 2a * 5) -6 + 12a = (-10 + 10a) Solving -6 + 12a = -10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -6 + 12a + -10a = -10 + 10a + -10a Combine like terms: 12a + -10a = 2a -6 + 2a = -10 + 10a + -10a Combine like terms: 10a + -10a = 0 -6 + 2a = -10 + 0 -6 + 2a = -10 Add '6' to each side of the equation. -6 + 6 + 2a = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = -10 + 6 2a = -10 + 6 Combine like terms: -10 + 6 = -4 2a = -4 Divide each side by '2'. a = -2 Simplifying a = -2
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